SAT数学Problem Solving练习题（2）

>>SAT考试：SAT数学Problem Solving练习题（2）

>>SAT考试辅导：精品课程高端指导

Question #3: What value x satisfies both 1/x < 1/7 and x 2 > 16?

(a) x = 1

(b) x = -5

(c) x = -1

(d) x = 7

(e) x = 6

Answer: x 2> 16 means (x - 4)· (x + 4) > 0.

x can be lower than -4 or higher than 4.

1/x < 1/7; (7-x) / 7x < 0.

x can be lower than 0 or higher than 7.

In conclusion, x can be lower than -4 or higher than 7. The only correct answer is x = -5.

Question #4: A lottery sells 1000 tickets and there is only one winning number. 200 New Jersey residents buy 2 tickets each, 300 New York

residents buy 1 ticket each and the rest are sold in Connecticut. What is the probability that the wining ticket was bought in New Jersey?

(a) 3/5

(b) 1/2

(c) 2/5

(d) 1/5

(e) 4/5

Answer: There are 400 tickets sold in New Jersey out of a total of 1000, so the probability will be 400/1000 = 2/5.

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